Vol. 2 (2026)

Articles

Input Uncertainty and Implications for Transient Heat Transfer in a Hollow Sphere

Published 2026-04-07

  • Rama Subba Reddy Gorla
    • ,
  • Lochlan Joyce

Rama Subba Reddy Gorla
Wright Patterson Air Force Base, Ohio 45433, USA

Lochlan Joyce
Wright Patterson Air Force Base, Ohio 45433, USA

Abstract

Uncertainty propagation and transient heat transfer in a hollow sphere is analyzed. The inner surface was assumed to be adiabatic and the outer surface had convective boundary condition. The stochastic Biot number, stochastic linear non-dimensional initial conditions, and various boundary conditions describe the temperature distribution throughout the hollow sphere. The resulting uncertainty amplitude was observed to have transient evolution in time. The uncertainty can either increase or decrease depending on the stochastic parameters. Results are presented for the variation of temperature due to uncertainties in the initial conditions and particular boundary conditions.

Keywords

uncertainty, transient, heat conduction, hollow-sphere

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